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Finding the Fourth Proportional to 309,486.72, 463,928.76 and 159,895.92

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Solution

The fourth proportional to 309,486.72, 463,928.76 and 159,895.92 is: 239,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,486.72 : 463,928.76 = 159,895.92 : x
  2. Step 2: Convert to fraction form
    309,486.72/463,928.76 = 159,895.92/x
  3. Step 3: Cross multiply
    309,486.72x = 463,928.76 × 159,895.92
  4. Step 4: Simplify right side
    309,486.72x = 74,180,315,894.66
  5. Step 5: Solve for x
    x = 74,180,315,894.66/309,486.72
  6. Step 6: Final answer
    x = 239,688.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.